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version 1.67, 1999/12/24 08:08:48 version 1.86, 1999/12/25 11:03:43
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 \documentclass{jarticle}  \documentclass{jarticle}
   
 %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.66 1999/12/24 00:01:21 tam Exp $  %% $OpenXM: OpenXM/doc/genkou19991125.tex,v 1.85 1999/12/25 10:00:48 tam Exp $
   
 \usepackage{jssac}  \usepackage{jssac}
 \title{¥¿¥¤¤Î¥È¥ë}  \title{
 \title{°ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦¡£}  1. °ÕÌ£¤â¤Ê¤¤½¤¾þ²á¾ê¤Ê¸ì¶ç¤ÏÇÓ½ü¤·¤Þ¤·¤ç¤¦. \\
   2. ¤»¤Ã¤«¤¯ fill ¤·¤Æ¤¤¤ë¤Î¤ò¤¤¤¸¤é¤Ê¤¤¤Ç¤¯¤ì. \\
   3. Åļ¤¬Í·¤ó¤Ç¤Ð¤«¤ê¤Ç¤ª¤ì¤Ð¤«¤ê»Å»ö¤ò¤·¤Æ¤¤¤ë¤Î¤Ï¤É¤¦¹Í¤¨¤Æ¤âÉÔ¸øÊ¿¤À.
   ¤Ê¤ó¤Ç»Å»ö¤ò¤·¤Ê¤¤¤Î¤«, ¤¤¤¤²Ã¸º»Å»ö¤ò¤·¤í, Åļ. \\
   3.5 ¤½¤¦¤¤¤¦¤´ÈӤȤ«¤Ä¤Þ¤é¤Ê¤¤Ï两ã¤Ê¤¯¤Æ, commit ¤Î¾ðÊó¤ò¤ß¤ì¤ÐÅļ¤¬
   Ç¡²¿¤Ë»Å»ö¤ò¤·¤Æ¤¤¤Ê¤¤¤Î¤«¤è¤¯¤ï¤«¤ë¤è. \\
   4. ¤¤¤¤²Ã¸º, Section 8 ¤ò½ñ¤±.
   }
   
 \author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê}  \author{±ü ë ¡¡ ¹Ô ±û\affil{¿À¸ÍÂç³ØÂç³Ø±¡¼«Á³²Ê³Ø¸¦µæ²Ê}
                 \mail{okutani@math.sci.kobe-u.ac.jp}                  \mail{okutani@math.sci.kobe-u.ac.jp}
Line 19 
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   \and  Á° Àî ¡¡ ¾­ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô}    \and  Á° Àî ¡¡ ¾­ ½¨\affil{¿À¸ÍÂç³ØÍý³ØÉô}
                 \mail{maekawa@math.sci.kobe-u.ac.jp}                  \mail{maekawa@math.sci.kobe-u.ac.jp}
 }  }
 \art{}  %\art{}
   
 \begin{document}  \begin{document}
 \maketitle  \maketitle
   
 \section{OpenXM¤È¤Ï}  \section{OpenXM¤È¤Ï}
   
 OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ìó¤Ç¤¢¤ë¡£  OpenXM ¤Ï¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤¿¤á¤Îµ¬Ìó¤Ç¤¢¤ë.
 ¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¤ä¤ê¤È¤ê¤¹¤ë¤³¤È¤Ë¤è¤ê¡¢  ¿ô³Ø¥×¥í¥»¥¹´Ö¤Ç¥á¥Ã¥»¡¼¥¸¤ò¤ä¤ê¤È¤ê¤¹¤ë¤³¤È¤Ë¤è¤ê,
 ¤¢¤ë¿ô³Ø¥×¥í¥»¥¹¤«¤é¾¤Î¿ô³Ø¥×¥í¥»¥¹¤ò¸Æ¤Ó½Ð¤·¤Æ·×»»¤ò¹Ô¤Ê¤Ã¤¿¤ê¡¢  ¤¢¤ë¿ô³Ø¥×¥í¥»¥¹¤«¤é¾¤Î¿ô³Ø¥×¥í¥»¥¹¤ò¸Æ¤Ó½Ð¤·¤Æ·×»»¤ò¹Ô¤Ê¤Ã¤¿¤ê,
 Â¾¤Î¥Þ¥·¥ó¤Ç·×»»¤ò¹Ô¤Ê¤ï¤»¤¿¤ê¤¹¤ë¤³¤È¤¬ÌÜŪ¤Ç¤¢¤ë¡£  Â¾¤Î¥Þ¥·¥ó¤Ç·×»»¤ò¹Ô¤Ê¤ï¤»¤¿¤ê¤¹¤ë¤³¤È¤¬ÌÜŪ¤Ç¤¢¤ë.
 ¤Ê¤ª¡¢ OpenXM ¤È¤Ï Open message eXchange protocol for Mathematics ¤Îά¤Ç¤¢¤ë¡£  ¤Ê¤ª, OpenXM ¤È¤Ï Open message eXchange protocol for Mathematics ¤Îά¤Ç¤¢¤ë.
 OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê¡¢  OpenXM ¤Î³«È¯¤Îȯü¤ÏÌîϤ¤È¹â»³¤Ë¤è¤ê,
 asir ¤È kan/sm1 ¤òÁê¸ß¤Ë¸Æ¤Ó½Ð¤¹µ¡Ç½¤ò¼ÂÁõ¤·¤¿¤³¤È¤Ç¤¢¤ë¡£  asir ¤È kan/sm1 ¤òÁê¸ß¤Ë¸Æ¤Ó½Ð¤¹µ¡Ç½¤ò¼ÂÁõ¤·¤¿¤³¤È¤Ç¤¢¤ë.
   
 ½é´ü¤Î¼ÂÁõ¤Ç¤Ï¡¢Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤Ã¤Æ¤¤¤¿¡£  ½é´ü¤Î¼ÂÁõ¤Ç¤Ï, Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤Ã¤Æ¤¤¤¿.
 ¤³¤ÎÊýË¡¤Ç¤ÏÁê¼ê¦¤Î¥½¥Õ¥È¤¬ asir ¤Ê¤Î¤« kan/sm1 ¤Ê¤Î¤«¤òȽÊ̤¹¤ë¤Ê¤É¤·¤Æ¡¢  ¤³¤ÎÊýË¡¤Ç¤ÏÁê¼ê¦¤Î¥½¥Õ¥È¤¬ asir ¤Ê¤Î¤« kan/sm1 ¤Ê¤Î¤«¤òȽÊ̤¹¤ë¤Ê¤É¤·¤Æ,
 Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë¹ç¤ï¤»¤¿Ê¸»úÎó¤òºîÀ®¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  Áê¼ê¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë¹ç¤ï¤»¤¿Ê¸»úÎó¤òºîÀ®¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
 ¤³¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤Ï¡¢  ¤³¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÁ÷¤ëÊýË¡¤Ï,
 ¸úΨŪ¤Ç¤¢¤ë¤È¤Ï¤¤¤¤Æñ¤¤¤¬¡¢»È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë¡£  ¸úΨŪ¤Ç¤¢¤ë¤È¤Ï¤¤¤¤Æñ¤¤¤¬, »È¤¤¤ä¤¹¤¤¤È¤â¸À¤¨¤ë.
   
 ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤òÍѤ¤¤Æ¤¤¤ë¡£  ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤Ë¤è¤ë¥á¥Ã¥»¡¼¥¸¤òÍѤ¤¤Æ¤¤¤ë.
 ¾åµ­¤Îʸ»úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á¡¢  ¾åµ­¤Îʸ»úÎó¤òÁ÷¤ëÊýË¡¤ÎÍøÅÀ¤òÀ¸¤«¤¹¤¿¤á,
 OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ»úÎó¤È¤·¤Æ¡¢  OpenXM µ¬Ìó¤Ç¤Ï¶¦ÄÌɽ¸½·Á¼°¤ÎÃæ¤Îʸ»úÎó¤È¤·¤Æ,
 ¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÍѤ¤¤¿¥á¥Ã¥»¡¼¥¸¤Î¸ò´¹¤â²Äǽ¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  ¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤òÍѤ¤¤¿¥á¥Ã¥»¡¼¥¸¤Î¸ò´¹¤â²Äǽ¤È¤Ê¤Ã¤Æ¤¤¤ë.
   
 OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë´ö¤é¤«¤Î¼«Í³ÅÙ¤¬¤¢¤ë¤¬¡¢  OpenXM µ¬Ìó¤Ç¤ÏÄÌ¿®¤ÎÊýË¡¤Ë´ö¤é¤«¤Î¼«Í³ÅÙ¤¬¤¢¤ë¤¬,
 ¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP ¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤¡£  ¸½ºß¤Î¤È¤³¤í¤Ï TCP/IP ¤òÍѤ¤¤¿ÄÌ¿®¤·¤«¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤¤.
 ¤½¤³¤Ç¡¢¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ¤ë¡£  \footnote{asir ¤Ç¤Ï MPI ¤òÍѤ¤¤¿¼ÂÁõ¤â¤¢¤ë.}
   ¤½¤³¤Ç, ¤³¤ÎÏÀʸ¤Ç¤Ï¶ñÂÎŪ¤Ê¼ÂÁõ¤Ï TCP/IP ¤òÍѤ¤¤Æ¤¤¤ë¤È²¾Äꤹ¤ë.
   
 \section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤}  \section{OpenXM ¤Î¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤}
   
 ÄÌ¿®¤ÎÊýË¡¤Ë¤è¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤¤ÏÊѤï¤ë¡£  ÄÌ¿®¤ÎÊýË¡¤Ë¤è¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤Î¹½Â¤¤ÏÊѤï¤ë.
 Á°Àá¤Ç²¾Äꤷ¤¿¤È¤ª¤ê¡¢¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦¡£  Á°Àá¤Ç²¾Äꤷ¤¿¤È¤ª¤ê, ¤³¤ÎÏÀʸ¤Ç¤Ï TCP/IP ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤ò¹Ô¤Ê¤¦.
   
 OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤È¤Ê¤Ã¤Æ¤ª¤ê¡¢  OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤È¤Ê¤Ã¤Æ¤ª¤ê,
 ¼¡¤Î¤è¤¦¤Ê¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  ¼¡¤Î¤è¤¦¤Ê¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë.
   
 \begin{tabular}{|c|c|}  \begin{tabular}{|c|c|}
 \hline  \hline
Line 63  OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥
Line 71  OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥
 \hline  \hline
 \end{tabular}  \end{tabular}
   
 ¥Ø¥Ã¥À¤ÎŤµ¤Ï 8 ¥Ð¥¤¥È¤Ç¤¢¤ë¤ÈÄê¤á¤é¤ì¤Æ¤¤¤ë¡£  ¥Ø¥Ã¥À¤ÎŤµ¤Ï 8 ¥Ð¥¤¥È¤Ç¤¢¤ë¤ÈÄê¤á¤é¤ì¤Æ¤¤¤ë.
 ¥Ü¥Ç¥£¤ÎŤµ¤Ï¥á¥Ã¥»¡¼¥¸¤´¤È¤Ë°Û¤Ê¤Ã¤Æ¤¤¤ë¤¬¡¢  ¥Ü¥Ç¥£¤ÎŤµ¤Ï¥á¥Ã¥»¡¼¥¸¤´¤È¤Ë°Û¤Ê¤Ã¤Æ¤¤¤ë¤¬,
 Ä¹¤µ¤Ï $0$ ¤Ç¤â¤è¤¤¡£  Ä¹¤µ¤Ï $0$ ¤Ç¤â¤è¤¤.
   
 ¥Ø¥Ã¥À¤Ï¼¡¤ÎÆó¤Ä¤Î¾ðÊó¤ò»ý¤Ã¤Æ¤¤¤ë¡£  ¥Ø¥Ã¥À¤Ï¼¡¤ÎÆó¤Ä¤Î¾ðÊó¤ò»ý¤Ã¤Æ¤¤¤ë.
 \begin{enumerate}  \begin{enumerate}
 \item   Á°È¾¤Î 4 ¥Ð¥¤¥È¡£¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤òɽ¤ï¤¹¼±Ê̻ҤǤ¢¤ê¡¢  \item   Á°È¾¤Î 4 ¥Ð¥¤¥È. ¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤òɽ¤ï¤¹¼±Ê̻ҤǤ¢¤ê,
         ¥¿¥°¤È¸Æ¤Ð¤ì¤ë¡£          ¥¿¥°¤È¸Æ¤Ð¤ì¤ë.
 \item   ¸åȾ¤Î 4 ¥Ð¥¤¥È¡£¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤±¤é¤ì¤¿Ä̤·ÈÖ¹æ¤Ç¤¢¤ë¡£  \item   ¸åȾ¤Î 4 ¥Ð¥¤¥È. ¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤±¤é¤ì¤¿Ä̤·ÈÖ¹æ¤Ç¤¢¤ë.
 \end{enumerate}  \end{enumerate}
 ¤½¤ì¤¾¤ì¤Î 4 ¥Ð¥¤¥È¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤È¤ß¤Ê¤µ¤ì¤Æ°·¤ï¤ì¤ë¡£  ¤½¤ì¤¾¤ì¤Î 4 ¥Ð¥¤¥È¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤È¤ß¤Ê¤µ¤ì¤Æ°·¤ï¤ì¤ë.
 ¤³¤Î¾ì¹ç¤ËÍѤ¤¤é¤ì¤ëÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤Æ¤Ï¸å½Ò¤¹¤ë¤¬¡¢  ¤³¤Î¾ì¹ç¤ËÍѤ¤¤é¤ì¤ëÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤Æ¤Ï¸å½Ò¤¹¤ë¤¬,
 ´ðËÜŪ¤Ëɽ¸½ÊýË¡¤Ï¤¤¤¯¤Ä¤«¤ÎÁªÂò»è¤«¤éÁª¤Ö¤³¤È¤¬²Äǽ¤È¤Ê¤Ã¤Æ¤ª¤ê¡¢  ´ðËÜŪ¤Ëɽ¸½ÊýË¡¤Ï¤¤¤¯¤Ä¤«¤ÎÁªÂò»è¤«¤éÁª¤Ö¤³¤È¤¬²Äǽ¤È¤Ê¤Ã¤Æ¤ª¤ê,
 ¤Þ¤¿¤½¤ÎÁªÂò¤ÏÄÌ¿®Ï©¤Î³ÎΩ»þ¤Ë°ìÅÙ¤À¤±¤Ê¤µ¤ì¤ë¤³¤È¤ËÃí°Õ¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  ¤Þ¤¿¤½¤ÎÁªÂò¤ÏÄÌ¿®Ï©¤Î³ÎΩ»þ¤Ë°ìÅÙ¤À¤±¤Ê¤µ¤ì¤ë¤³¤È¤ËÃí°Õ¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
 ¸½ºß¤ÎOpenXM µ¬Ìó¤Ç¤Ï¡¢¥¿¥°(À°¿ôÃÍ)¤È¤·¤Æ  ¸½ºß¤ÎOpenXM µ¬Ìó¤Ç¤Ï, ¥¿¥°(À°¿ôÃÍ)¤È¤·¤Æ
 °Ê²¼¤Î¤â¤Î¤¬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£  °Ê²¼¤Î¤â¤Î¤¬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë.
   
 \begin{verbatim}  \begin{verbatim}
 #define OX_COMMAND              513  #define OX_COMMAND              513
Line 90  OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥
Line 98  OpenXM µ¬Ìó¤Çµ¬Äꤵ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥
 #define OX_DATA_MP              525  #define OX_DATA_MP              525
 \end{verbatim}  \end{verbatim}
   
 ¥Ü¥Ç¥£¤Î¹½Â¤¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¡£  ¥Ü¥Ç¥£¤Î¹½Â¤¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë.
 ¤³¤ÎÏÀʸ¤Ç¤Ï OX\_DATA ¤È \\  ¥¿¥°¤¬ OX\_COMMAND ¤È¤Ê¤Ã¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ç¤¢¤ê,
 OX\_COMMAND ¤Ç¼±Ê̤µ¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤¤¤Æ¤Î¤ß¡¢ÀâÌÀ¤¹¤ë¡£  ¤½¤ì°Ê³°¤Î¥á¥Ã¥»¡¼¥¸¤Ï²¿¤é¤«¤Î¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¤·¤Æ¤¤¤ë.
   ¤³¤ÎÏÀʸ¤Ç¤Ï OX\_DATA ¤È OX\_COMMAND ¤Ç¼±Ê̤µ¤ì¤ë
   ¥á¥Ã¥»¡¼¥¸¤Ë¤Ä¤¤¤Æ¤Î¤ß, ÀâÌÀ¤¹¤ë.
   
 ´û¸¤Î¥á¥Ã¥»¡¼¥¸¤Ç¤ÏÂбþ¤Ç¤­¤Ê¤¤¾ì¹ç¤Ï¡¢¿·¤·¤¤¼±Ê̻ҤòÄêµÁ¤¹¤ë¤³¤È¤Ç¿·¤·  ´û¸¤Î¥á¥Ã¥»¡¼¥¸¤Ç¤ÏÂбþ¤Ç¤­¤Ê¤¤¾ì¹ç¤Ï, ¿·¤·¤¤¼±Ê̻ҤòÄêµÁ¤¹¤ë¤³¤È¤Ç¿·¤·
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 ¤ÎÄêµÁÊýË¡¤Ë¤Ä¤¤¤Æ¤Ï¡¢\cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È¡£  ¤ÎÄêµÁÊýË¡¤Ë¤Ä¤¤¤Æ¤Ï, \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È.
   
 \section{OpenXM ¤Î·×»»¥â¥Ç¥ë}  \section{OpenXM ¤Î·×»»¥â¥Ç¥ë}
   
 OpenXM µ¬Ìó¤Ç¤Î·×»»¤È¤Ï¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤³¤È¤Ç¤¢¤ë¡£¤Þ¤¿¡¢ OpenXM µ¬  OpenXM µ¬Ìó¤Ç¤Î·×»»¤È¤Ï¥á¥Ã¥»¡¼¥¸¤ò¸ò´¹¤¹¤ë¤³¤È¤Ç¤¢¤ë. ¤Þ¤¿, OpenXM µ¬
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 ÆÀ¤é¤ì¤ë¡£  ÆÀ¤é¤ì¤ë. ¤³¤Î¥á¥Ã¥»¡¼¥¸¤Î¤ä¤ê¤È¤ê¤Ï¥¯¥é¥¤¥¢¥ó¥È¤Î¼çƳ¤Ç¹Ô¤ï¤ì¤ë. ¤Ä¤Þ¤ê,
   ¥¯¥é¥¤¥¢¥ó¥È¤Ï¼«Í³¤Ë¥á¥Ã¥»¡¼¥¸¤ò¥µ¡¼¥Ð¤ËÁ÷ÉÕ¤·¤Æ¤â¤è¤¤¤¬, ¥µ¡¼¥Ð¤«¤é¤Ï¼«
   È¯Åª¤Ë¥á¥Ã¥»¡¼¥¸¤¬Á÷ÉÕ¤µ¤ì¤ë¤³¤È¤Ï¤Ê¤¤. ¤³¤Î¸¶Íý¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó
   ¤Ç¤¢¤ë¤³¤È¤Ç¼Â¸½¤µ¤ì¤ë. ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Î¹½Â¤¤Ë¤Ä¤¤¤Æ¤Ï \ref{sec:oxsm} Àá
   ¤Ç½Ò¤Ù¤ë.
   
 ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¡£¥µ¡¼¥Ð¤¬¥¯¥é¥¤¥¢¥ó¥È¤«¤é¼õ¤±¼è¤Ã¤¿¥á¥Ã¥»¡¼  ¥µ¡¼¥Ð¤¬¥¯¥é¥¤¥¢¥ó¥È¤«¤é¼õ¤±¼è¤Ã¤¿¥ª¥Ö¥¸¥§¥¯¥È(¤Ä¤Þ¤ê OX\_COMMAND ¤Ç¤Ê¤¤
 ¥¸¤Ï¡¢¥¿¥°¤¬ OX\_COMMAND ¤Ç¤Ê¤±¤ì¤Ð¤¹¤Ù¤Æ¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë¡£¥¿¥°¤¬  ¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£)¤Ï¤¹¤Ù¤Æ¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë. ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá
 OX\_COMMAND ¤È¤Ê¤Ã¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ç¤¢¤ê¡¢¤³¤Î¥á¥Ã  (OX\_COMMAND ¤Ç¼±Ê̤µ¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£)¤ò¼õ¤±¼è¤Ã¤¿¥µ¡¼¥Ð¤ÏÌ¿Îá¤ËÂÐ
 ¥»¡¼¥¸¤ò¼õ¤±¼è¤Ã¤¿¥µ¡¼¥Ð¤Ï¤½¤ì¤ËÂбþ¤¹¤ëÆ°ºî¤ò¹Ô¤Ê¤¦¤³¤È¤¬´üÂÔ¤µ¤ì¤Æ¤¤¤ë¡£  ±þ¤¹¤ëÆ°ºî¤ò¹Ô¤Ê¤¦. ¤³¤Î¤È¤­, Ì¿Îá¤Ë¤è¤Ã¤Æ¤Ï¥¹¥¿¥Ã¥¯¤«¤é¥ª¥Ö¥¸¥§¥¯¥È¤ò¼è
   ¤ê½Ð¤¹¤³¤È¤¬¤¢¤ê, ¤Þ¤¿(³Æ¿ô³Ø¥·¥¹¥Æ¥à¤Ç¤Î)·×»»·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤळ¤È¤¬
   ¤¢¤ë. ¤â¤·, Í¿¤¨¤é¤ì¤¿¥Ç¡¼¥¿¤¬Àµ¤·¤¯¤Ê¤¤¤Ê¤É¤ÎÍýͳ¤Ç¥¨¥é¡¼¤¬À¸¤¸¤¿¾ì¹ç¤Ë
   ¤Ï¥µ¡¼¥Ð¤Ï¥¨¥é¡¼¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà. ·×»»·ë²Ì¤ò¥¯¥é¥¤¥¢¥ó¥È¤¬ÆÀ
   ¤ë¾ì¹ç¤Ë¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ÎÌ¿Îá SM\_popCMO ¤Þ¤¿¤Ï SM\_popString ¤ò¥µ¡¼¥Ð
   ¤ËÁ÷¤é¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤. ¤³¤ì¤é¤ÎÌ¿Îá¤ò¼õ¤±¼è¤Ã¤Æ¤Ï¤¸¤á¤Æ, ¥µ¡¼¥Ð¤«¤é¥¯¥é
   ¥¤¥¢¥ó¥È¤Ø¥á¥Ã¥»¡¼¥¸¤¬Á÷¤é¤ì¤ë.
   
 %{\large\bf °ÕÌ£ÉÔÌÀ¤Ê½ñ¤­Êý¤À¤±¤É¡¢}  %{\Huge °Ê²¼, ½ñ¤­Ä¾¤·}
 ¥µ¡¼¥Ð¤Ï¥á¥Ã¥»¡¼¥¸¤ò¼õ¤±¼è¤é¤Ê¤¤¸Â¤ê¡¢¼«¤é²¿¤«Æ°ºî¤ò¹Ô¤Ê¤ª¤¦¤È¤Ï¤·¤Ê¤¤¡£  
 ¤³¤ì¤Ï¥¯¥é¥¤¥¢¥ó¥È¤¬Ëè²ó¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¤¿¤Ó¤Ë¡¢  
 ¤¤¤Ä¤â¥µ¡¼¥Ð¤«¤é¤Î¥á¥Ã¥»¡¼¥¸¤òÂÔ¤ÄɬÍפ¬¤Ê¤¤¤³¤È¤ò°ÕÌ£¤¹¤ë¡£  
 ¤³¤Î¤¿¤á¡¢¥¯¥é¥¤¥¢¥ó¥È¤Ï¥µ¡¼¥Ð¤Î¾õÂÖ¤òµ¤¤Ë¤»¤º¤Ë¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê¡¢  
 °ìö¥á¥Ã¥»¡¼¥¸¤òÁ÷ÉÕ¤·½ª¤¨¤¿¸å¡¢  
 Á÷¤Ã¤¿¥á¥Ã¥»¡¼¥¸¤Î·ë²Ì¤ò¥µ¡¼¥Ð¤«¤éÂԤĤ³¤È¤Ê¤·¤Ë¼¡¤ÎÆ°ºî¤Ë°Ü¤ë¤³¤È¤¬¤Ç¤­¤ë¡£  
   
 \section{OpenXM ¤Î·×»»¤Î¿Ê¹ÔÊýË¡}  ¤Þ¤È¤á¤ë¤È, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê,
   ·×»»¤Î·ë²Ì¤òÆÀ¤ë¤È¤¤¤¦¼ê½ç¤Ï°Ê²¼¤Î¤è¤¦¤Ë¤Ê¤ë.
   
 %Á°¤ÎÀá¤È½ÅÊ£¤·¤Æ¤¤¤ë¤Î¤Ç¤â¤¦¾¯¤·¤Á¤ã¤ó¤È¹Í¤¨¤ÆÍߤ·¤¤¤Î¤À¤±¤ì¤É¡¢  \begin{enumerate}
   \item
   ¤Þ¤º, ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥ª¥Ö¥¸¥§¥¯¥È¤òÁ÷¤ë. ¥µ¡¼¥Ð¤ÏÁ÷¤é¤ì¤Æ¤­¤¿¥ª¥Ö
   ¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà.
   \item
   ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ë·×»»¤ÎÌ¿Îá¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¤¢¤é¤«¤¸¤áÄê¤á¤ì¤é¤¿
   Æ°ºî¤ò¹Ô¤¦. °ìÉô¤ÎÌ¿Îá¤Ï¥¹¥¿¥Ã¥¯¤Î¾õÂÖ¤òÊѹ¹¤¹¤ë.
   Î㤨¤Ð SM\_executeFunction, \\
   SM\_executeStringByLocalParser ¤Ê¤É¤ÎÌ¿Îá¤Ï, ¥¹¥¿¥Ã¥¯¾å¤Î¥ª¥Ö¥¸¥§¥¯¥È¤«¤é
   ·×»»¤ò¹Ô¤¦. SM\_popCMO ¤â¤·¤¯¤Ï SM\_popString ¤Ï, ¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì¤Î¥ª¥Ö
   ¥¸¥§¥¯¥È¤ò¼è¤ê¤À¤·, ¥¯¥é¥¤¥¢¥ó¥È¤ËÁ÷¤êÊÖ¤¹.
   \end{enumerate}
   
 Á°Àá¤ÎÀâÌÀ¤Ç¤ï¤«¤ë¤è¤¦¤Ë¡¢  
 ¥µ¡¼¥Ð¤Ï¥¯¥é¥¤¥¢¥ó¥È¤«¤é¤Î»Ø¼¨¤Ê¤·¤Ë¡¢  
 ¼«¤é¥á¥Ã¥»¡¼¥¸¤òÁ÷¤é¤Ê¤¤¡£  
 %(Îã³°? ox\_asir ¤Î mathcap)¡£  
   
 ¥µ¡¼¥Ð¤¬¥¯¥é¥¤¥¢¥ó¥È¤«¤é¼õ¤±¼è¤Ã¤¿¥ª¥Ö¥¸¥§¥¯¥È¤Ï¤¹¤Ù¤Æ¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë¡£  \section{OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó}\label{sec:oxsm}
 ¼¡¤¤¤Ç¥µ¡¼¥Ð¤Ë¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤òÁ÷¤ë¤È¡¢  
 ½é¤á¤Æ¥µ¡¼¥Ð¤Ï¥Ç¡¼¥¿¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà°Ê³°¤Î¤Ê¤ó¤é¤«¤ÎÆ°ºî¤ò¹Ô¤Ê¤¦¡£  
 ¤³¤Î¤È¤­¡¢É¬Íפ¬¤¢¤ì¤Ð¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤«¤éɬÍפʤÀ¤±¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤¹¡£  
 ¤³¤³¤Ç¡¢¥¯¥é¥¤¥¢¥ó¥È¤«¤é¤ÎÌ¿Îá¤Ë¤è¤ëÆ°ºîÃæ¤Ë¤¿¤È¤¨¥¨¥é¡¼¤¬È¯À¸¤·¤¿¤È¤·¤Æ¤â  
 ¥µ¡¼¥Ð¤Ï¥¨¥é¡¼¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà¤À¤±¤Ç¡¢  
 ÌÀ¼¨¤µ¤ì¤Ê¤¤¸Â¤ê¥¨¥é¡¼¤¹¤é¤â¥¯¥é¥¤¥¢¥ó¥È¤ØÊÖ¤µ¤Ê¤¤¤³¤È¤Ë  
 Ãí°Õ¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  
   
 ·ë²Ì¤¬À¸¤¸¤ëÆ°ºî¤ò¥µ¡¼¥Ð¤¬¹Ô¤Ê¤Ã¤¿¾ì¹ç¡¢  OpenXM µ¬Ìó¤Ç¤Ï¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ç¤¢¤ë¤ÈÄêµÁ¤·¤Æ¤¤¤ë. °Ê²¼, OpenXM
 ¥µ¡¼¥Ð¤ÏÆ°ºî¤Î·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤È¸Æ¤Ö. ¤³¤ÎÀá¤Ç¤ÏOpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Î¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ
 ¥µ¡¼¥Ð¤Ë¹Ô¤Ê¤ï¤»¤¿Æ°ºî¤Î·ë²Ì¤ò¥¯¥é¥¤¥¢¥ó¥È¤¬ÃΤꤿ¤¤¾ì¹ç¡¢  ¤·¤è¤¦.
 ¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·Á÷¿®¤ò¹Ô¤Ê¤¦Ì¿Îá¤ò¥µ¡¼¥Ð¦¤ØÁ÷¤ì¤Ð¤è¤¤¡£  
   
 %{\Huge °Ê²¼¡¢½ñ¤­Ä¾¤·}  ¤Þ¤º, OpenXM µ¬Ìó¤ÏÄÌ¿®»þ¤Ë¤ä¤ê¤È¤ê¤µ¤ì¤ë¶¦Ä̤Υǡ¼¥¿·Á¼°¤Ë¤Ä¤¤¤Æ¤Ïµ¬Äê
   ¤¹¤ë¤¬, OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬¥¹¥¿¥Ã¥¯¤ËÀѤà, ¥ª¥Ö¥¸¥§¥¯¥È¤Î¹½Â¤¤Þ¤Ç¤Ï
   µ¬Äꤷ¤Ê¤¤. ¤Ä¤Þ¤ê, ¥ª¥Ö¥¸¥§¥¯¥È¤Î¹½Â¤¤Ï³Æ¿ô³Ø¥·¥¹¥Æ¥à¤´¤È¤Ë°Û¤Ê¤Ã¤Æ¤¤¤ë
   ¤È¤¤¤¦¤³¤È¤Ç¤¢¤ë. ¤³¤Î¤³¤È¤ÏÄÌ¿®Ï©¤«¤é¥Ç¡¼¥¿¤ò¼õ¤±¼è¤Ã¤¿ºÝ¤Ë, ³Æ¿ô³Ø¥·¥¹
   ¥Æ¥à¤¬¸ÇÍ­¤Î¥Ç¡¼¥¿¹½Â¤¤ËÊÑ´¹¤·¤Æ¤«¤é¥¹¥¿¥Ã¥¯¤ËÀѤळ¤È¤ò°ÕÌ£¤¹¤ë. ¤³¤ÎÊÑ
   ´¹¤Ï1ÂÐ1Âбþ¤Ç¤¢¤ëɬÍפϤʤ¤.
   
 ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ê¡¢  ¼¡¤Ë OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ÎÌ¿Îᥳ¡¼¥É¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë. OpenXM ¥¹¥¿¥Ã¥¯
 ·×»»¤Î·ë²Ì¤òÆÀ¤ë¤È¤¤¤¦¼ê½ç¤òÄɤäƤ¤¤¯¤È¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£  ¥Þ¥·¥ó¤Ë¤ª¤±¤ë¤¹¤Ù¤Æ¤ÎÌ¿Îá¤Ï4¥Ð¥¤¥È¤ÎŤµ¤ò»ý¤Ä. OpenXM µ¬Ìó¤Î¾¤Îµ¬Äê¤È
   Æ±ÍͤË, 4¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ï32¥Ó¥Ã¥ÈÀ°¿ô¤È¸«¤Ê¤µ¤ì¤ë¤Î¤Ç, ¤³¤ÎÏÀʸ¤Ç¤â¤½¤Î
   É½µ­¤Ë¤·¤¿¤¬¤¦. OpenXM ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ËÂФ¹¤ëÌ¿Îá¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë¤³
   ¤È¤Ï¤Ê¤¤. ¸½ºß¤Î¤È¤³¤í, OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤ÎÌ¿Î᤬ÄêµÁ¤µ¤ì¤Æ¤¤¤ë.
   
 \begin{enumerate}  \begin{verbatim}
 \item   ¤Þ¤º¡¢¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ø¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¡£  #define SM_popSerializedLocalObject               258
         ¥µ¡¼¥Ð¤ÏÁ÷¤é¤ì¤Æ¤­¤¿¥á¥Ã¥»¡¼¥¸¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  #define SM_popCMO                                 262
 \item   ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ë¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤òÁ÷¤ë¤È¡¢  #define SM_popString                              263
         ¥µ¡¼¥Ð¤ÏɬÍפʤÀ¤±¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·¡¢  
         ¼Â¹Ô¤·¤¿·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  
 \item   ºÇ¸å¤Ë¡Ö¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·Á÷¿®¤ò¹Ô¤Ê¤¦Ì¿Îá¡×¤ò  
         ¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤«¤é·×»»·ë²Ì¤ÎÆþ¤Ã¤Æ¤¤¤ë  
         ¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·¡¢¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷½Ð¤¹¤ë¡£  
 \end{enumerate}  
   
   #define SM_mathcap                                264
   #define SM_pops                                   265
   #define SM_setName                                266
   #define SM_evalName                               267
   #define SM_executeStringByLocalParser             268
   #define SM_executeFunction                        269
   #define SM_beginBlock                             270
   #define SM_endBlock                               271
   #define SM_shutdown                               272
   #define SM_setMathCap                             273
   #define SM_executeStringByLocalParserInBatchMode  274
   #define SM_getsp                                  275
   #define SM_dupErrors                              276
   
 \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}  #define SM_DUMMY_sendcmo                          280
   #define SM_sync_ball                              281
   
 OpenXM µ¬Ìó¤Ç¤Ï¡¢¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ  #define SM_control_kill                          1024
 CMO ·Á¼°(Common Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë¡£  #define SM_control_to_debug_mode                 1025
 ¤³¤Î CMO ·Á¼°¤ò»È¤Ã¤Æ¥á¥Ã¥»¡¼¥¸¤òÁ÷¤ë¤Ë¤Ï¡¢  #define SM_control_exit_debug_mode               1026
 ¥¿¥°¤ò OX\_DATA ¤Ë¤¹¤ì¤Ð¤è¤¤¡£  #define SM_control_ping                          1027
 CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤Æ°Ê²¼¤ÇÀâÌÀ¤¹¤ë¤¬¡¢  #define SM_control_start_watch_thread            1028
 %OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥á¥Ã¥»¡¼¥¸¤ò¼ÂºÝ¤ËºîÀ®¤¹¤ë¾ì¹ç¡¢  #define SM_control_stop_watch_thread             1029
 CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¿ÇÜĹÀ°¿ô¤òÍý²ò¤·¤Æ¤ª¤¯¤È¡¢  #define SM_control_reset_connection              1030
 CMO ·Á¼°¤Î¾¤Î¥Ç¡¼¥¿¹½Â¤¤À¤±¤Ç¤Ê¤¯¡¢  \end{verbatim}
 OpenXM µ¬Ìó¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ëÍÍ¡¹¤Ê¥Ç¡¼¥¿¹½Â¤¤òÍý²ò¤¹¤ë½õ¤±¤Ë¤Ê¤ë¤È»×¤¨¤ë¤Î¤Ç¡¢  
 ¤³¤³¤Ç¤Ï CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë¡£  
   
 CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë¥Ç¡¼¥¿¤Ï¿ÇÜĹÀ°¿ô°Ê³°¤Ë¤â  %°Ê²¼, ¤É¤¦¤¤¤¦¤È¤­¤Ë·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤफ¥¨¥é¡¼¤Î¾ì¹ç¤É¤¦¤¹¤ë¤«¤ÎÀâÌÀ¤¬
 Ê¸»úÎó¤ä¥ê¥¹¥È¹½Â¤¤Ê¤É¤¬¤¢¤ë¡£¤É¤Î¤è¤¦¤Ê¥Ç¡¼¥¿¤Ç¤¢¤ë¤«¤Ï  %ɬÍפǤ¢¤í¤¦.
 ¥Ç¡¼¥¿¤ÎÀèƬ 4 ¥Ð¥¤¥È¤Ë¤¢¤ë(¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻ҤȤÏÊ̤ˤ¢¤ë)¥¿¥°¤ò¸«¤ì¤Ð  
 È½Ê̤Ǥ­¤ë¤è¤¦¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤ËÂФ¹¤ëÌ¿Îá¤ÎÃæ¤Ë¤Ï¼Â¹Ô¤Ë¤è¤Ã¤Æ·ë²Ì¤¬Ê֤äƤ¯¤ë¤â¤Î¤¬¤¢¤ë.
 ¤³¤ì¤Ï¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ÎȽÊ̤λÅÊý¤È¤ª¤Ê¤¸¤Ç¤¢¤ë¡£  ·ë²Ì¤¬Ê֤äƤ¯¤ëÌ¿Îá¤ò¼Â¹Ô¤·¤¿¾ì¹ç, ¥µ¡¼¥Ð¤Ï¤½¤Î·ë²Ì¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà.
 ¤Ê¤ª¡¢¥¿¥°¤Ï³Æ¥Ç¡¼¥¿Ëè¤Ë 32 bit ¤ÎÀ°¿ô¤Çɽ¤µ¤ì¤Æ¤ª¤ê¡¢  ¤¿¤È¤¨¤Ð, Ì¿Îá SM\_executeStringByLocalParser ¤Ï
 Â¿ÇÜĹÀ°¿ô¤Ï 20 ¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  ¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ò
 ¤è¤¯»È¤ï¤ì¤ë¤È»×¤ï¤ì¤ë CMO ·Á¼°¤Î¥¿¥°¤ò¤¢¤²¤Æ¤ª¤¯¡£  ¥µ¡¼¥Ð¦¤Î¥í¡¼¥«¥ë¸À¸ì¤Îʸˡ¤Ë½¾¤Ã¤¿Ê¸»úÎó¤È¤ß¤Ê¤·¤Æ·×»»¤ò¹Ô¤Ê¤¦¤¬,
   ¹Ô¤Ê¤Ã¤¿·×»»¤Î·ë²Ì¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë.
   %{\Large ¤³¤ì, ËÜÅö? ʸ»úÎó¤ÇÀѤޤì¤ë¤Î? ¤É¤³¤Ç·è¤Þ¤Ã¤Æ¤ë¤Î?}
   %¢¬¤¹¤¤¤Þ¤»¤ó¡¢±³¤Ç¤·¤¿¡£
   
   ¤Ê¤ª, Ì¿Îá¤Î¼Â¹ÔÃæ¤Ë¥¨¥é¡¼¤¬µ¯¤³¤ê, ·ë²Ì¤¬ÆÀ¤é¤ì¤Ê¤«¤Ã¤¿¾ì¹ç¤Ë¤Ï,
   ¥¨¥é¡¼¥ª¥Ö¥¸¥§¥¯¥È¤¬¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤ë.
   
   
   \section{CMO ¤Î¥Ç¡¼¥¿¹½Â¤}\label{sec:cmo}
   
   OpenXM µ¬Ìó¤Ç¤Ï, ¿ô³ØŪ¥ª¥Ö¥¸¥§¥¯¥È¤òɽ¸½¤¹¤ëÊýË¡¤È¤·¤Æ CMO ·Á¼°(Common
   Mathematical Object format)¤òÄêµÁ¤·¤Æ¤¤¤ë. ¤³¤Î CMO ·Á¼°¤Ë¤·¤¿¤¬¤Ã¤¿¥Ç¡¼
   ¥¿¤Ï, ¼±Ê̻Ҥ¬ OX\_DATA ¤Ç¤¢¤ë¤è¤¦¤Ê¥á¥Ã¥»¡¼¥¸¤Î¥Ü¥Ç¥£¤Ë¤Ê¤ë¤³¤È¤òÁÛÄꤷ
   ¤Æ¤¤¤ë.
   
   CMO ·Á¼°¤Ë¤ª¤±¤ë¥Ç¡¼¥¿¹½Â¤¤Ï¼¡¤Î¤è¤¦¤Ê¹½Â¤¤ò¤â¤Ä.
   
   \begin{tabular}{|c|c|} \hline
   ¥Ø¥Ã¥À        & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline
   \end{tabular}
   
   ¥Ø¥Ã¥À¤Ï4¥Ð¥¤¥È¤Ç¤¢¤ë. ¥Ü¥Ç¥£¤ÎŤµ¤Ï¤½¤ì¤¾¤ì¤Î¥Ç¡¼¥¿¤Ë¤è¤Ã¤Æ°Û¤Ê¤ë¤¬,
   0¤Ç¤â¤è¤¤.
   
   ¥á¥Ã¥»¡¼¥¸¤ÈƱÍͤ˥إåÀ¤Ï4¥Ð¥¤¥Èñ°Ì¤Ë´ÉÍý¤µ¤ì¤ë. ¤¹¤Ê¤ï¤Á, CMO ¤Ç¤Ï¥Ø¥Ã
   ¥À¤Ï°ì¤Ä¤À¤±¤Î¾ðÊó¤ò´Þ¤à. ¤³¤Î4¥Ð¥¤¥È¤Î¥Ø¥Ã¥À¤Î¤³¤È¤ò¥¿¥°¤È¤â¤¤¤¦. ¤µ¤Æ,
   CMO ¤Ç¤Ï, ¥¿¥°¤Ë¤è¤Ã¤Æ¥Ü¥Ç¥£¤ÎÏÀÍýŪ¹½Â¤¤¬·èÄꤹ¤ë. ¤¹¤Ê¤ï¤Á, ¥¿¥°¤Ï¤½¤ì
   ¤¾¤ì¤Î¥Ç¡¼¥¿¹½Â¤¤È1ÂÐ1¤ËÂбþ¤¹¤ë¼±Ê̻ҤǤ¢¤ë. ¤½¤ì¤¾¤ì¤ÎÏÀÍýŪ¹½Â¤¤Ï
   \cite{OpenXM-1999} ¤Ë¾Ü½Ò¤µ¤ì¤Æ¤¤¤ë. ¸½ºß¤Î OpenXM µ¬Ìó¤Ç¤Ï°Ê²¼¤Î CMO ¤¬
   ÄêµÁ¤µ¤ì¤Æ¤¤¤ë.
   
 \begin{verbatim}  \begin{verbatim}
 #define CMO_INT32    2 /* 32 ¥Ó¥Ã¥ÈÀ°¿ô */  #define CMO_ERROR2  0x7f000002
 #define CMO_STRING   4 /* ʸ»úÎó        */  #define CMO_NULL    1
 #define CMO_MATHCAP  5 /* mathcap(¸å½Ò) */  #define CMO_INT32   2
 #define CMO_LIST    17 /* ¥ê¥¹¥È¹½Â¤    */  #define CMO_DATUM   3
 #define CMO_ZZ      20 /* ¿ÇÜĹÀ°¿ô    */  #define CMO_STRING  4
   #define CMO_MATHCAP 5
   
   #define CMO_START_SIGNATURE      0x7fabcd03
   #define CMO_ARRAY                16
   #define CMO_LIST                 17
   #define CMO_ATOM                 18
   #define CMO_MONOMIAL32           19
   #define CMO_ZZ                   20
   #define CMO_QQ                   21
   #define CMO_ZERO                 22
   #define CMO_DMS_GENERIC          24
   #define CMO_DMS_OF_N_VARIABLES   25
   #define CMO_RING_BY_NAME         26
   #define CMO_RECURSIVE_POLYNOMIAL 27
   #define CMO_LIST_R               28
   
   #define CMO_INT32COEFF                 30
   #define CMO_DISTRIBUTED_POLYNOMIAL     31
   #define CMO_POLYNOMIAL_IN_ONE_VARIABLE 33
   #define CMO_RATIONAL                   34
   
   #define CMO_64BIT_MACHINE_DOUBLE           40
   #define CMO_ARRAY_OF_64BIT_MACHINE_DOUBLE  41
   #define CMO_128BIT_MACHINE_DOUBLE          42
   #define CMO_ARRAY_OF_128BIT_MACHINE_DOUBLE 43
   
   #define CMO_BIGFLOAT          50
   #define CMO_IEEE_DOUBLE_FLOAT 51
   
   #define CMO_INDETERMINATE 60
   #define CMO_TREE          61
   #define CMO_LAMBDA        62
 \end{verbatim}  \end{verbatim}
   
 ¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ëɬÍפ¬¤¢¤ë¡£  ¤³¤ÎÃæ¤Ç CMO\_ERROR2, CMO\_NULL, CMO\_INT32, CMO\_DATUM, CMO\_STRING,
 OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò  CMO\_MATHCAP, CMO\_LIST ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤ÏºÇ¤â´ðËÜŪ¤Ê¥ª¥Ö¥¸¥§
 {\tt 00 00 00 14} ¤Èɽ¤¹ÊýË¡¤È {\tt 14 00 00 00} ¤Èɽ¤¹ÊýË¡¤¬¤¢¤ë¡£  ¥¯¥È¤Ç¤¢¤Ã¤Æ, ¤¹¤Ù¤Æ¤Î OpenXM Âбþ¥·¥¹¥Æ¥à¤Ë¼ÂÁõ¤µ¤ì¤Æ¤¤¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
 ¤³¤Îɽ¸½ÊýË¡¤Î°ã¤¤¤Ï¥¯¥é¥¤¥¢¥ó¥È¤È¥µ¡¼¥Ð¤ÎºÇ½é¤ÎÀܳ»þ¤Ë  
 ÁÐÊý¤Î¹ç°Õ¤Ç·èÄꤹ¤ë¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ¤Ê¤ª¡¢¹ç°Õ¤¬¤Ê¤¤¾ì¹ç¤Ë¤ÏÁ°¼Ô¤Îɽ¸½ÊýË¡  
 (°Ê¸å¡¢¤³¤Îɽ¸½ÊýË¡¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤È¸Æ¤Ö)¤ò  
 »È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ¤Þ¤¿¡¢Éé¤Î¿ô¤òɽ¸½¤¹¤ëɬÍפ¬¤¢¤ë¤È¤­¤Ë¤Ï¡¢  
 2 ¤ÎÊä¿ôɽ¸½¤ò»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
   
 CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï¡¢ Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê¡¢  ¤³¤ì¤é¤Ë¤Ä¤¤¤Æ¤Î²òÀâ¤ò¹Ô¤¦Á°¤Ëµ­Ë¡¤Ë¤Ä¤¤¤Æ, ¾¯¤·ÀâÌÀ¤·¤Æ¤ª¤¯.
 Éä¹çÉÕ¤­ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë¡£  ¤³¤ÎÏÀʸ¤Ç¤Ï, Âçʸ»ú¤Ç CMO\_INT32 ¤È½ñ¤¤¤¿¾ì¹ç¤Ë¤Ï, ¾åµ­¤ÇÄêµÁ¤·¤¿¼±ÊÌ»Ò
 ¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë¡£  ¤òɽ¤ï¤¹. ¤Þ¤¿ CMO\_INT32 ¤Ç¼±Ê̤µ¤ì¤ë¥ª¥Ö¥¸¥§¥¯¥È¤Î¥¯¥é¥¹(¤¢¤ë¤¤¤Ï¥Ç¡¼
   ¥¿¹½Â¤)¤ò cmo\_int32 ¤È¾®Ê¸»ú¤Çɽ¤ï¤¹¤³¤È¤Ë¤¹¤ë.
   
 \begin{tabular}{|c|c|c|c|c|} \hline  ¤µ¤Æ cmo ¤òɽ¸½¤¹¤ë¤¿¤á¤Î°ì¤Ä¤Îµ­Ë¡¤òƳÆþ¤¹¤ë. ¤³¤Îµ­Ë¡¤Ï CMO expression
 $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline  ¤È¸Æ¤Ð¤ì¤Æ¤¤¤ë. ¤½¤ÎÀµ³Î¤Ê·Á¼°ÅªÄêµÁ¤Ï \cite{OpenXM-1999} ¤ò»²¾È¤¹¤ë¤³¤È.
 \end{tabular}  
   
 ¤³¤³¤Ç¡¢ 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·¡¢  ¤Þ¤º CMO expssion ¤Ï Lisp É÷ɽ¸½¤Î°ì¼ï¤Ç, cmo ¤ò³ç¸Ì¤Ç°Ï¤ó¤À¥ê¥¹¥È¤È¤·
 $f$ ¤ÏÉä¹çÉÕ¤­ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò¡¢  ¤Æɽ¸½¤¹¤ë. ¤½¤ì¤¾¤ì¤ÎÍ×ÁǤϥ«¥ó¥Þ¤Ç¶èÀÚ¤ë.
 $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹ç¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë¡£  Î㤨¤Ð,
 ¤µ¤é¤Ë¡¢ $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  \begin{quote}
 ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï  (17, {\sl int32}, (CMO\_NULL), (2, {\sl int32} $n$))
 \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots  \end{quote}
         + b_{n-1} (2^{32})^{n-1} \}     \]  ¤Ï CMO expression ¤Ç¤¢¤ë. ¤³¤³¤Ç, ¾®Ê¸»ú¤Î¼ÐÂΤÇɽ¤µ¤ì¤¿``{\sl int32}''
 ¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë¡£  ¤Ï 4¥Ð¥¤¥È¤ÎǤ°Õ¤Î¥Ç¡¼¥¿¤òɽ¤¹µ­¹æ¤Ç¤¢¤ê, ``{\sl int32} $n$'' ¤ÏƱ¤¸¤¯ 4
 ¤¿¤À¤·¡¢  ¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤¬°Ê²¼¤ÎÀâÌÀ¤Ç $n$ ¤Èɽ¤¹¤³¤È¤ò¼¨¤¹. ¤Þ¤¿¿ô»ú 17, 2
 \[ \mbox{sgn}(f) = \left\{ \begin{array}{ll}  ¤Ê¤É¤Ï 4¥Ð¥¤¥È¤Î¥Ç¡¼¥¿¤ÇÀ°¿ôÃͤȤ·¤Æ¤ß¤¿¤È¤­¤ÎÃͤò°ÕÌ£¤¹¤ë. CMO\_NULL ¤Ï
         1       & f>0 \\  ¼±ÊÌ»Ò(¤¹¤Ê¤ï¤Á¿ô»ú 1 ¤ÈÅù²Á)¤Ç¤¢¤ë. ¤³¤Îµ­Ë¡¤«¤é¾åµ­¤Î¥Ç¡¼¥¿¤Ï 20 ¥Ð¥¤
         0       & f=0 \\  ¥È¤ÎÂ礭¤µ¤Î¥Ç¡¼¥¿¤Ç¤¢¤ë¤³¤È¤¬Ê¬¤«¤ë.
         -1      & f<0 \\ \end{array} \right.    \]  ¤Ê¤ª, ¥Ç¡¼¥¿¤¬ CMO expression ¤Çɽµ­¤Ç¤­¤Æ¤â,
 ¤Ç¤¢¤ë¡£  CMO ¤Ç¤¢¤ë¤È¤Ï¸Â¤é¤Ê¤¤¤³¤È¤ËÃí°Õ¤·¤Æ¤Û¤·¤¤.
   
 ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦¡£  ¤µ¤Æ, ¤³¤Îµ­Ë¡¤Î¤â¤È¤Ç cmo\_int32 ¤ò¼¡¤Î¥Ç¡¼¥¿¹½Â¤¤ò»ý¤Ä¤ÈÄêµÁ¤¹¤ë.
 $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î  \begin{quote}
 ¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¡¢Â¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È¡¢  cmo\_int32 := (CMO\_INT32,  {\sl int32})
 \begin{center}  \end{quote}
         {\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01}  Æ±ÍͤË, cmo\_null, cmo\_string, cmo\_list, cmo\_mathcap ¤Î¥·¥ó¥¿¥Ã
 \end{center}  ¥¯¥¹¤Ï¼¡¤Î¤è¤¦¤ËÄêµÁ¤µ¤ì¤ë.
 ¤È¤Ê¤ë¡£¤Þ¤¿¡¢Æ±¤¸É½¸½ÊýË¡¤Ç $-1$ ¤òɽ¸½¤¹¤ë¤È¡¢  \begin{quote}
 \begin{center}  cmo\_null := (CMO\_NULL) \\
         {\tt 00 00 00 14 ff ff ff ff 00 00 00 01}  cmo\_string := (CMO\_STRING, {\sl int32} $n$, {\sl string} $s$) \\
 \end{center}  cmo\_list := (CMO\_LIST, {\sl int32} $m$, {\sl cmo} $c_1$, $\ldots$,
 ¤È¤Ê¤ë¡£  {\sl cmo} $c_m$) \\
   cmo\_mathcap := (CMO\_MATHCAP, {\sl cmo\_list})
   \end{quote}
   ¤¿¤À¤·, {\sl string}¤ÏŬÅö¤ÊŤµ¤Î¥Ð¥¤¥ÈÎó¤òɽ¤¹. $s$ ¤Î¥Ð¥¤¥ÈĹ¤Ï $n$
   ¤È°ìÃפ¹¤ë¤³¤È¤¬Í׵ᤵ¤ì¤ë.
   
   %{\Large °Ê²¼, Åļ¤Î½ñ¤¤¤¿Éôʬ¤Ç¤¢¤ë¤¬, ÌäÂê³°¤Ç¤¢¤ë¤³¤È¤è. \\
   %¤³¤ó¤Ê¤¤¤¤²Ã¸º¤Ê¤³¤È¤Ð¤«¤ê½ñ¤¯¤«¤é, ¿®ÍѤµ¤ì¤Ê¤¤¤ó¤À¤è.
   %¡ÖCMO ¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô¡×¤Ê¤ó¤Æ¤É¤³¤ÇÄêµÁ¤·¤¿¤ó¤À¤è. µ¬Ìó¤Ë¤â¤½¤ó¤ÊÇϼ¯¤Ê
   %¸ÀÍդϤʤ¤¤¾. ¤Þ¤¸¤á¤Ë½ñ¤¯µ¤¤¬¤¢¤ë¤Î¤«?
   %}
   %
   %¤³¤ì¤Ï CMO ¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô $a$ ¤òɽ¤¹.
   %
   %¾¤Î¥ª¥Ö¥¸¥§¥¯¥È¤âÄêµÁ¤¹¤ë¤¿¤á¤Ë,
   %``{\sl string} $s$'' ¤òʸ»úÎó $s$ ,
   %``{\sl cmo} $ob$'' ¤ò CMO ¤Î $ob$ ¤È¤¹¤ë.
   %¤³¤ì¤òÍѤ¤¤Æ, cmo\_string, cmo\_list ¤òÄêµÁ¤¹¤ë.
   %
   %{\Large ¤Þ¤¿¤¤¤¤²Ã¸º¤Ê¤³¤È¤ò.... ``ʸ»úÎó'' ¤Î³µÇ°¤¬¤Ï¤Ã¤­¤ê¤·¤Ê¤¤¤Ç¤·¤ç
   %¤¦¤¬. }
   %
   %\begin{quote}
   %cmo\_string := (CMO\_STRING, {\sl int32} $len$, {\sl string} $str$) \\
   %cmo\_list := (CMO\_LIST, {\sl int32} $n$, {\sl cmo} $ob_1$,
   %               {\sl cmo} $ob_2$, $\cdots$,{\sl cmo} $ob_n$)
   %\end{quote}
   %
   %¤³¤ì¤Ï¤½¤ì¤¾¤ìŤµ $len$ ¤Îʸ»úÎó $str$ ¤È,
   %$ob_1$, $ob_2$, $\cdots$, $ob_n$ ¤«¤é¤Ê¤ëŤµ $n$ ¤Î¥ê¥¹¥È¤òɽ¤¹.
   
 \section{mathcap ¤Ë¤Ä¤¤¤Æ}  
   
 OpenXM µ¬Ìó¤Ç¤Ï¡¢ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò  % ¤³¤³¤Ç 32 bit ¤ÎÀ°¿ô¤Îɽ¸½ÊýË¡¤Ë¤Ä¤¤¤Æ¿¨¤ì¤Æ¤ª¤¯.
 ³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À©¸Â¤¹¤ëÊýË¡¤òÍÑ°Õ¤·¤Æ¤¤¤ë¡£  % OpenXM µ¬Ìó¤Ç¤Ï¥Ð¥¤¥È¥¹¥È¥ê¡¼¥à¤Ç 32 bit ¤ÎÀ°¿ô 20 ¤ò
 ¤³¤ì¤Ï³Æ¥½¥Õ¥È¥¦¥§¥¢¤Î¼ÂÁõ¤Ë¤è¤Ã¤Æ¤Ï¤¹¤Ù¤Æ¤Î¥á¥Ã¥»¡¼¥¸¤ò  % {\tt 00 00 00 14} ¤Èɽ¤¹ÊýË¡¤È {\tt 14 00 00 00} ¤Èɽ¤¹ÊýË¡¤¬¤¢¤ë.
 ¥µ¥Ý¡¼¥È¤¹¤ë¤Î¤¬º¤Æñ¤Ê¾ì¹ç¤¬¤¢¤ë¤«¤é¤Ç¤¢¤ë¡£  % ¤³¤Îɽ¸½ÊýË¡¤Î°ã¤¤¤Ï¥¯¥é¥¤¥¢¥ó¥È¤È¥µ¡¼¥Ð¤ÎºÇ½é¤ÎÀܳ»þ¤Ë
 ¤Þ¤¿¡¢³Æ¥½¥Õ¥È¥¦¥§¥¢¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤âÍ­¸ú¤Ç¤¢¤ë¡£  % ÁÐÊý¤Î¹ç°Õ¤Ç·èÄꤹ¤ë¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë.
 ¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥)¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë mathcap ¤È  % ¤Ê¤ª, ¹ç°Õ¤¬¤Ê¤¤¾ì¹ç¤Ë¤ÏÁ°¼Ô¤Îɽ¸½ÊýË¡
 ¸Æ¤Ð¤ì¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤è¤Ã¤Æ¹Ô¤ï¤ì¤ë¡£  % (°Ê¸å, ¤³¤Îɽ¸½ÊýË¡¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤È¸Æ¤Ö)¤ò
 ¤³¤ÎÀá¤Ç¤Ï mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤È¡¢  % »È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë.
 ¶ñÂÎŪ¤Ê¥á¥Ã¥»¡¼¥¸¤ÎÀ©¸Â¤Î¼ê³¤­¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£  % ¤Þ¤¿, Éé¤Î¿ô¤òɽ¸½¤¹¤ëɬÍפ¬¤¢¤ë¤È¤­¤Ë¤Ï,
   % 2 ¤ÎÊä¿ôɽ¸½¤ò»È¤¦¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë.
   
 ¤Þ¤º¡¢¼ê³¤­¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦¡£  % Àè¤Û¤É¤Î, (CMO\_INT32, 123456789) ¤ò¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼¤Ç
 ¥¯¥é¥¤¥¢¥ó¥È¦¤Î mathcap ¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È¡¢  % ¥Ð¥¤¥ÈÎó¤Ëľ¤¹¤È,
 ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë¡¢¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿ mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤ߾夲¤ë¡£  % \begin{center}
 ¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤Ï¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤³¤È¤Ë¤è¤ê¡¢  %       {\tt 00 00 00 02 07 5b cd 15}
 ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¤ò¼è¤ê½Ð¤·¡¢  % \end{center}
 mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¦¤Ø  % ¤È¤Ê¤ê,
 Á÷¤é¤Ê¤¤¤è¤¦¤ËÀßÄꤹ¤ë¡£  % (CMO\_STRING, 6, ``OpenXM'') ¤Ï
 ¥µ¡¼¥Ð¦¤Î mathcap ¤¬Íߤ·¤¤¾ì¹ç¤Ë¤Ï°Ê²¼¤Î¤è¤¦¤Ë¤¹¤ë¡£  % \begin{center}
 ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤Ë mathcap ¤òÍ׵᤹¤ë¤È¡¢  %       {\tt 00 00 00 04 00 00 00 06 4f 70 65 6e 58 4d}
 ¥µ¡¼¥Ð¤Ï¥µ¡¼¥Ð¼«¿È¤Î mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤࡣ  % \end{center}
 ¤µ¤é¤Ë¥µ¡¼¥Ð¤Ë¥¹¥¿¥Ã¥¯¤«¤é¥Ç¡¼¥¿¤ò¼è¤ê½Ð¤·Á÷¿®¤ò¹Ô¤Ê¤¦Ì¿Îá¤òÁ÷¤ì¤Ð¡¢  % ¤È¤Ê¤ë.
 ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤Ë¤¢¤ë mathcap ¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷½Ð¤¹¤ë¡£  
 ¤³¤Î¤è¤¦¤Ë¤·¤Æ¥¯¥é¥¤¥¢¥ó¥È¤Ï¥µ¡¼¥Ð¦¤Î mathcap ¤ò¼õ¤±¼è¤ì¤ë¤ï¤±¤Ç¤¢¤ë¡£  
   
 ¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë¡£  % CMO ·Á¼°¤Î¿ÇÜĹÀ°¿ô¤Ï, Gnu MP¥é¥¤¥Ö¥é¥êÅù¤ò»²¹Í¤Ë¤·¤Æ¤ª¤ê,
 mathcap ¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤ª¤ê¡¢  % Éä¹æÉÕ¤­ÀäÂÐÃÍɽ¸½¤òÍѤ¤¤Æ¤¤¤ë.
 1 ¤Ä¤Î CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò»ý¤Ä¡£  % ¥¿¥°°Ê¹ß¤Î·Á¼°¤Ï¼¡¤Î¤è¤¦¤Ë¤Ê¤ë.
   
 ¤½¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤ÇÀâÌÀ¤¹¤ë 3 ¤Ä¤ÎÍ×ÁǤ«¤é¤Ê¤ë¥ê¥¹¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¡£  % \begin{tabular}{|c|c|c|c|c|} \hline
   % $f$ & $b_0$ & $b_1$ & $\cdots$ & $b_{n-1}$ \\ \hline
   % \end{tabular}
   
 \[      \begin{tabular}{|c|c|c|} \hline  % ¤³¤³¤Ç, 1 ¤Ä¤ÎÏÈ¤Ï 4 ¥Ð¥¤¥È¤òɽ¤·,
         $A$ & $B$ & $C$ \\ \hline  % $f$ ¤ÏÉä¹æÉÕ¤­ 32 ¥Ó¥Ã¥ÈÀ°¿ô¤ò,
         \end{tabular}   \]  % $b_0$, $b_1$, $\cdots$, $b_{n-1}$ ¤ÏÉä¹æ¤Ê¤· 32 ¥Ó¥Ã¥ÈÀ°¿ô¤òɽ¤·¤Æ¤¤¤ë.
   % ¤µ¤é¤Ë, $|f| = n$ ¤¬À®¤êΩ¤¿¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
   % ¤³¤Î¥ª¥Ö¥¸¥§¥¯¥È¤Ï
   % \[ \mbox{sgn}(f) \times \{ b_0 (2^{32})^0 + b_1 (2^{32})^1 + \cdots
   %       + b_{n-1} (2^{32})^{n-1} \}     \]
   % ¤È¤¤¤¦À°¿ô¤Ç¤¢¤ë¤ÈÄêµÁ¤µ¤ì¤Æ¤¤¤ë.
   % ¤¿¤À¤·,
   % \[ \mbox{sgn}(f) = \left\{ \begin{array}{ll}
   %         1       & f>0 \\
   %         0       & f=0 \\
   %         -1      & f<0 \\ \end{array} \right.  \]
   % ¤Ç¤¢¤ë.
   
 ºÇ½é¤ÎÍ×ÁÇ $A$ ¤ÎÉôʬ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤ª¤ê¡¢  % ¤³¤³¤Ç¶ñÂÎÎã¤ò¤À¤½¤¦.
 $a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò¡¢  % $4294967298 = 1 \times 2^{32} + 2$ ¤ò CMO ·Á¼°¤Î
 $a_2$ ¤Ïʸ»úÎó¤Ç¥·¥¹¥Æ¥à¤Î̾Á°¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  % ¥Í¥Ã¥È¥ï¡¼¥¯¥Ð¥¤¥È¥ª¡¼¥À¡¼, ¿ÇÜĹÀ°¿ô¤Çɽ¸½¤¹¤ë¤È,
   % \begin{center}
   %       {\tt 00 00 00 14 00 00 00 02 00 00 00 02 00 00 00 01}
   % \end{center}
   % ¤È¤Ê¤ë. ¤Þ¤¿, Ʊ¤¸É½¸½ÊýË¡¤Ç $-1$ ¤òɽ¸½¤¹¤ë¤È,
   % \begin{center}
   %       {\tt 00 00 00 14 ff ff ff ff 00 00 00 01}
   % \end{center}
   % ¤È¤Ê¤ë.
   
 \[      \begin{tabular}{|c|c|} \hline  
         $a_1$ & $a_2$   \\ \hline  
         \end{tabular}   \]  
   
 2 ÈÖÌܤÎÍ×ÁÇ $B$ ¤ÎÉôʬ¤Ï¼¡¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£  \section{mathcap ¤Ë¤Ä¤¤¤Æ}
 ¤³¤Î $b_1$, $b_2$, $\cdots$, $b_n$ ¤Ï¤¹¤Ù¤Æ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Ç¤¢¤ë¡£  
 ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹¤Ù¤Æ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Çɽ¤·¤Æ¤ª¤ê¡¢  
 ³Æ $b_i$ ¤ÏÍøÍѲÄǽ¤ÊÌ¿Îá¤ËÂбþ¤¹¤ë 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  
   
 \[      \begin{tabular}{|c|c|c|c|} \hline  OpenXM µ¬Ìó¤Ç¤Ï, ÄÌ¿®»þ¤ËÍѤ¤¤é¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³Æ¥½¥Õ¥È¥¦¥§¥¢¤¬À©
         $b_1$ & $b_2$ & $\cdots$ & $b_n$        \\ \hline  ¸Â¤¹¤ëÊýË¡¤òÍÑ°Õ¤·¤Æ¤¤¤ë. ¤³¤ì¤Ï³Æ¥½¥Õ¥È¥¦¥§¥¢¤Î¼ÂÁõ¤Ë¤è¤Ã¤Æ¤Ï¤¹¤Ù¤Æ¤Î¥á¥Ã
         \end{tabular}   \]  ¥»¡¼¥¸¤ò¥µ¥Ý¡¼¥È¤¹¤ë¤Î¤¬º¤Æñ¤Ê¾ì¹ç¤¬¤¢¤ë¤«¤é¤Ç¤¢¤ë. ¤Þ¤¿, ³Æ¥½¥Õ¥È¥¦¥§¥¢
   ¤Ç¥á¥Ã¥»¡¼¥¸¤Î¼ïÎà¤ò³ÈÄ¥¤·¤¿¤¤¾ì¹ç¤Ë¤âÍ­¸ú¤Ç¤¢¤ë. ¤³¤ÎÀ©¸Â(¤¢¤ë¤¤¤Ï³ÈÄ¥)
   ¤Ï mathcap ¤È¸Æ¤Ð¤ì¤ë¥Ç¡¼¥¿¹½Â¤¤Ë¤è¤Ã¤Æ¹Ô¤ï¤ì¤ë. ¤³¤ÎÀá¤Ç¤Ï mathcap ¤Î¥Ç¡¼
   ¥¿¹½Â¤¤È, ¶ñÂÎŪ¤Ê¥á¥Ã¥»¡¼¥¸¤ÎÀ©¸Â¤Î¼ê³¤­¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë.
   
 3 ÈÖÌܤÎÍ×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë¡£  ¤Ç¤Ï, ¼ê³¤­¤Ë¤Ä¤¤¤ÆÀâÌÀ¤·¤è¤¦.
 \[  \overbrace{  
         \begin{tabular}{|c|c|c|c|} \hline  
         $c_1$ & $c_2$ & $\cdots$ & $c_n$        \\ \hline  
         \end{tabular}  
    }^{C}        \]  
 %$n$ ¤Ï OX\_COMMAND °Ê³°¤Î¼õ¤±¼è¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¥¿¥°¤Î¼ïÎà¤Î¿ô¤ËÅù¤·¤¤¡£  
 %Í×ÁÇ¿ô¤Ï 1 ¤Ç¤â¤â¤Á¤í¤ó¹½¤ï¤Ê¤¤¡£  
 ³Æ $c_i$ ¤â¤Þ¤¿°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤È¤Ê¤Ã¤Æ¤ª¤ê¡¢  
 ¤É¤Î $c_i$ ¤âºÇ½é¤ÎÍ×ÁǤ¬ 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤È¤Ê¤Ã¤Æ¤¤¤ë¡£  
 \[  \overbrace{  
         \begin{tabular}{|c|c|c|c|c|} \hline  
         $c_{i1}$ (32 ¥Ó¥Ã¥È¤ÎÀ°¿ô) & $c_{i2}$ & $c_{i3}$ &  
                 $\cdots$ & $c_{im}$     \\ \hline  
         \end{tabular}  
    }^{c_i}      \]  
 ¤³¤Î¥ê¥¹¥È¤ÎºÇ½é¤ÎÀ°¿ôÃͤϼõ¤±¼è¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¥¿¥°¤¬Æþ¤Ã¤Æ¤¤¤ë¡£  
 $c_{i2}$ °Ê¹ß¤Ë¤Ä¤¤¤Æ¤ÏºÇ½é¤Î $c_{i1}$ ¤ÎÃͤˤè¤Ã¤Æ¤½¤ì¤¾¤ì°Û¤Ê¤ë¡£  
 ¤³¤³¤Ç¤Ï¡¢ºÇ½é¤ÎÍ×ÁǤ¬ OX\_DATA ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë¡£  
 ¤³¤Î $c_{i1}$ ¤¬ OX\_DATA ¤Î¾ì¹ç¡¢  
 ¥ê¥¹¥È $c_i$ ¤Ï CMO ·Á¼°¤Ë¤Ä¤¤¤Æ¤Î¾ðÊó¤òɽ¤·¤Æ¤ª¤ê¡¢  
 $m=2$ ¤È·è¤á¤é¤ì¤Æ¤¤¤ë¡£  
 $c_{i1}$ ¤Ë¤Ï¤â¤Á¤í¤ó¤Î¤³¤È OX\_DATA ¤¬Æþ¤Ã¤Æ¤ª¤ê¡¢  
 $c_{i2}$ ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤Ë¤Ê¤Ã¤Æ¤¤¤ë¡£  
 ³ÆÍ×ÁÇ¤Ï 32 ¥Ó¥Ã¥È¤ÎÀ°¿ô¤Ç¤¢¤ê¡¢  
 ¼õ¤±¼è¤ë¤³¤È¤¬²Äǽ¤Ê CMO ·Á¼°¤Î¥¿¥°¤¬Æþ¤ë¡£  
 \[  \overbrace{  
         \begin{tabular}{|c|c|c|c|c|} \hline  
         $c_{i21}$ & $c_{i22}$ & $\cdots$ & $c_{i2l}$    \\ \hline  
         \end{tabular}  
    }^{c_{i2}}   \]  
   
 %¤Ê¤ª¡¢ mathcap ¥Ç¡¼¥¿¤ÎÃæ¤Ç¤Ï CMO ·Á¼°¤ÇÄêµÁ¤µ¤ì¤Æ¤¤¤ë  Âè°ì¤Ë¥µ¡¼¥Ð¤Îµ¡Ç½¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬ mathcap
 %32 bit À°¿ô¡¢Ê¸»úÎ󡢥ꥹ¥È¹½Â¤¤¬»È¤ï¤ì¤Æ¤ª¤ê¡¢  ¥ª¥Ö¥¸¥§¥¯¥È¤ò¥µ¡¼¥Ð¤ØÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¼õ¤±¼è¤Ã¤¿mathcap ¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà.
 %mathcap ¥Ç¡¼¥¿¤Ë´Þ¤Þ¤ì¤Æ¤¤¤ëÆâÍƤòÍý²ò¤Ç¤­¤ë¤¿¤á¤Ë¤Ï  ¼¡¤Ë¥¯¥é¥¤¥¢¥ó¥È¤¬Ì¿Îá SM\_setMathCap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì
 %ɬÁ³Åª¤Ë¤³¤ì¤é¤âÍý²ò¤Ç¤­¤ëɬÍפ¬¤¢¤ë  ¤ËÀѤޤì¤Æ¤¤¤ë mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¼è¤ê½Ð¤·, mathcap ¤ÇÀßÄꤵ¤ì¤Æ¤¤¤Ê
 %(¤Ã¤Æ¤³¤È¤Ï CMO ·Á¼°¤Î¤È¤³¤í¤Ç¤³¤ì¤é¤ò  ¤¤¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤ØÁ÷¤é¤Ê¤¤¤è¤¦¤ËÀ©¸Â¤ò¹Ô¤¦.
 %ÀâÌÀ¤·¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤¤Ã¤Æ¤³¤È¤Ç¤¹)¡£  
   
 ¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦¡£  ÂèÆó¤Ë¥¯¥é¥¤¥¢¥ó¥È¤òÀ©¸Â¤¹¤ë¤Ë¤Ï¼¡¤Î¤è¤¦¤Ë¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤¬¥µ¡¼¥Ð¤ËÌ¿Îá \\
 %¤Ê¤ª¡¢ $a_1$, $a_2$, $\cdots$, $a_n$ ¤òÍ×ÁÇ¤Ë  SM\_mathcap ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤ò¥¹¥¿¥Ã¥¯¤ËÀѤà.
 %»ý¤Ä¥ê¥¹¥È¹½Â¤¤ò {\tt [$a_1$, $a_2$, $\cdots$, $a_n$]} ¡¢  ¤µ¤é¤ËÌ¿Îá SM\_popCMO ¤òÁ÷¤ë¤È, ¥µ¡¼¥Ð¤Ï¥¹¥¿¥Ã¥¯¤ÎºÇ¾å°Ì¤Î¥ª¥Ö¥¸¥§¥¯¥È
 %ʸ»úÎó ``string'' ¤ò {\tt "string"} ¡¢ 32 bit À°¿ô¤ò  (¤¹¤Ê¤ï¤Á mathcap ¥ª¥Ö¥¸¥§¥¯¥È)¤ò¥Ü¥Ç¥£¤È¤¹¤ë¥á¥Ã¥»¡¼¥¸¤ò¥¯¥é¥¤¥¢¥ó¥È¤Ë
 %¤½¤ì¤ËÂбþ¤¹¤ë 10 ¿Ê¿ô¤ÎÀ°¿ô¤Ç¼¨¤¹¡£  Á÷ÉÕ¤¹¤ë. ¥¯¥é¥¤¥¢¥ó¥È¤Ï¤½¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ò²òÀϤ·¤Æ, À©¸Â¤ò¤«¤±¤ë.
 Ì¾Á°¤¬ ``ox\_test'' ¡¢¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç¤¢¤ì¤Ð¡¢  
 $A$ ¤ÎÉôʬ¤Ï  ¼¡¤Ë mathcap ¤Î¥Ç¡¼¥¿¹½Â¤¤Ë¤Ä¤¤¤ÆÀâÌÀ¤¹¤ë.
   mathcap ¤Ï CMO ¤Î°ì¼ï¤Ç¤¢¤ë¤Î¤Ç, ¤¹¤Ç¤ËÀâÌÀ¤·¤¿¤è¤¦¤Ë \\
 \begin{tabular}{|c|c|} \hline  \begin{tabular}{|c|c|} \hline
 199911250 & "ox\_test" \\ \hline  ¥Ø¥Ã¥À        & \hspace{10mm} ¥Ü¥Ç¥£ \hspace{10mm} \\ \hline
 \end{tabular}  
 ¤È¤Ê¤ë¡£  
 ¤µ¤é¤Ë¡¢¤³¤Î¥µ¡¼¥Ð¤Î¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬  
 Ì¿Îᥳ¡¼¥É 2, 3, 5, 7, 11 ÈÖ¤òÍøÍѲÄǽ  
 (¼ÂºÝ¤Ë¤Ï¤³¤Î¤è¤¦¤ÊÌ¿Îᥳ¡¼¥É¤Ï¸ºß¤·¤Ê¤¤)¤Ç¤¢¤ì¤Ð¡¢ $B$ ¤ÎÉôʬ¤Ï  
 \begin{tabular}{|c|c|c|c|c|} \hline  
 2 & 3 & 5 & 7 & 11 \\ \hline  
 \end{tabular}  
 ¤È¤Ê¤ê¡¢  
 CMO ·Á¼°¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô¡¢Ê¸»úÎó¡¢ mathcap ¡¢¥ê¥¹¥È¹½Â¤¤Î¤ß¤¬  
 ¼õ¤±¼è¤ì¤ë¤È¤­¤Ë¤Ï¡¢ $C$ ¤ÎÉôʬ¤Ï  
 \begin{tabular}{|c|} \hline  
         \\[-5mm]  
         \begin{tabular}{|c|c|} \hline  
                 & \\[-5mm]  
                 OX\_DATA &  
                 \begin{tabular}{|c|c|c|c|} \hline  
                 CMO\_INT32 & CMO\_STRING & CMO\_MATHCAP & CMO\_LIST \\ \hline  
                 \end{tabular} \\[0.8mm] \hline  
         \end{tabular} \\[1.4mm] \hline  
 \end{tabular} \\  \end{tabular} \\
 ¤È¤Ê¤ë¡£  ¤Î¹½Â¤¤ò»ý¤Á¥Ø¥Ã¥À¤ÎÃÍ¤Ï 5 ¤Ç¤¢¤ë(\ref{sec:cmo} Àá¤ò»²¾È¤Î¤³¤È).
 CMO\_ZZ ¤¬¤Ê¤¤¤Î¤Ç¡¢¤³¤Î¥µ¡¼¥Ð¤Ï¿ÇÜĹÀ°¿ô¤¬  ¥Ü¥Ç¥£¤Ï cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ç¤Ê¤±¤ì¤Ð¤Ê¤é¤Ê¤¤.
 Á÷¤é¤ì¤Æ¤³¤Ê¤¤¤³¤È¤ò´üÂÔ¤·¤Æ¤¤¤ë¡£  
   
 ¤Ê¤ª¡¢¥Ç¡¼¥¿¤¬¼õ¤±¼è¤ì¤ë¤³¤È¤È¡¢  %\begin{quote}
 ¥Ç¡¼¥¿¤ÎÏÀÍý¹½Â¤¤¬Íý²ò¤Ç¤­¤ë¤³¤È¤È¤Ï¤Þ¤Ã¤¿¤¯ÊÌʪ¤Ç¤¢¤ë¤Î¤Ç  %       cmo\_mathcap := (CMO\_MATHCAP,{\sl cmo} obj)
 Ãí°Õ¤¹¤ëɬÍפ¬¤¢¤ë¡£  %\end{quote}
   
   ¤µ¤Æ, mathcap ¥ª¥Ö¥¸¥§¥¯¥È¤Î¥Ü¥Ç¥£¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï°Ê²¼¤Î¾ò·ï¤ò
   Ëþ¤¿¤¹¤³¤È¤òÍ׵ᤵ¤ì¤ë.
   
   ¤Þ¤º, ¤½¤Î cmo\_list ¥ª¥Ö¥¸¥§¥¯¥È¤Ï¾¯¤Ê¤¯¤È¤â¥ê¥¹¥ÈŤ¬ 3 °Ê¾å¤Ç¤Ê¤±¤ì¤Ð
   ¤Ê¤é¤Ê¤¤.
   
   \begin{quote}
   (CMO\_LIST, {\sl int32}, {\sl cmo} $A$, {\sl cmo} $B$, {\sl cmo} $C$, $\ldots$)
   \end{quote}
   
   Âè°ìÍ×ÁÇ $A$ ¤Ï¤Þ¤¿ cmo\_list ¤Ç¤¢¤ê, ¥ê¥¹¥ÈĹ¤Ï 4 °Ê¾å,
   $a_1$ ¤Ï 32 ¥Ó¥Ã¥ÈÀ°¿ô¤Ç¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤ò,
   $a_2$, $a_3$, $a_4$ ¤Ïʸ»úÎó¤Ç¤¢¤ê,
   ¤½¤ì¤¾¤ì¥·¥¹¥Æ¥à¤Î̾Á°, , HOSTTYPE ¤òɽ¤¹¤³¤È¤Ë¤Ê¤Ã¤Æ¤¤¤ë.
   \begin{quote}
   (CMO\_LIST, {\sl int32},
   {\sl cmo\_int32} $a_1$, {\sl cmo\_string} $a_2$, {\sl cmo\_string}
   $a_3$, {\sl cmo\_string} $a_4$, $\ldots$)
   \end{quote}
   
   ÂèÆóÍ×ÁÇ $B$ ¤ÎÉôʬ¤Ï¼¡¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë.
   ¤³¤Î $b_1$, $b_2$, $\cdots$, $b_n$ ¤Ï¤¹¤Ù¤Æ cmo\_int32 ¤Ç¤¢¤ë.
   \ref{sec:oxsm} Àá¤ÇÀâÌÀ¤·¤¿¤¬,
   ¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤Ø¤ÎÌ¿Îá¤Ï¤¹¤Ù¤Æ {\sl int32} ¤Çɽ¤µ¤ì¤Æ¤¤¤¿¤³¤È¤ËÃí°Õ¤·¤è
   ¤¦. ³Æ $b_i$ ¤ÏÍøÍѲÄǽ¤ÊÌ¿Îá¤ò¥Ü¥Ç¥£¤È¤·¤¿ cmo\_int32 ¤È¤Ê¤Ã¤Æ¤¤¤ë.
   \begin{quote}
           (CMO\_LIST, {\sl int32} $n$,
                   {\sl cmo\_int32} $b_1$, {\sl cmo\_int32} $b_2$,
                   $\cdots$, {\sl cmo\_int32} $b_n$)
   \end{quote}
   
   Âè»°Í×ÁÇ $C$ ¤Ï°Ê²¼¤Î¤è¤¦¤Ê¥ê¥¹¥È¹½Â¤¤ò¤·¤Æ¤¤¤ë.
   \begin{quote}
     (CMO\_LIST, {\sl int32} $m$, \\
     \hspace{10mm} (CMO\_LIST, {\sl int32} $l_1$, {\sl cmo\_int32} $c_{11}$,
                   {\sl cmo} $c_{12}$, $\cdots$, {\sl cmo} $c_{1l_1}$) \\
     \hspace{10mm} (CMO\_LIST, {\sl int32} $l_2$, {\sl cmo\_int32} $c_{21}$,
                   {\sl cmo} $c_{22}$, $\cdots$, {\sl cmo} $c_{1l_2}$) \\
     \hspace{10mm} $\vdots$ \\
     \hspace{10mm} (CMO\_LIST, {\sl int32} $l_m$, {\sl cmo\_int32} $c_{m1}$,
                   {\sl cmo} $c_{m2}$, $\cdots$, {\sl cmo} $c_{1l_m}$))
   \end{quote}
   ¤É¤Î $c_{i1}$ ¤Ë¤â cmo\_int32 ¤¬Æþ¤Ã¤Æ¤ª¤ê,
   OX\_COMMAND °Ê³°¤Î, ¼õ¤±¼è¤ì¤ë¥á¥Ã¥»¡¼¥¸¤Î¼±Ê̻Ҥ¬Æþ¤Ã¤Æ¤¤¤ë.
   $c_{i2}$ °Ê¹ß¤Ë¤Ä¤¤¤Æ¤ÏºÇ½é¤Î $c_{i1}$ ¤ÎÃͤˤè¤Ã¤Æ¤½¤ì¤¾¤ì°Û¤Ê¤ë.
   ¤³¤³¤Ç¤Ï, OX\_DATA ¤Î¾ì¹ç¤Ë¤Ä¤¤¤Æ¤Î¤ßÀâÌÀ¤¹¤ë.
   ¤³¤Î $c_{i1}$ ¤¬ OX\_DATA ¤Î¾ì¹ç,
   $c_{i1}$, $c_{i2}$, $\cdots$, $c_{il_i}$ ¤òÍ×ÁǤȤ¹¤ë cmo\_list ¤Ï
   CMO ·Á¼°¤Ë¤Ä¤¤¤Æ¤Î¾ðÊó¤òɽ¤·¤Æ¤ª¤ê, $l_i=2$ ¤È·è¤á¤é¤ì¤Æ¤¤¤ë.
   $c_{i1}$ ¤Ë¤Ï¤â¤Á¤í¤ó¤Î¤³¤È OX\_DATA ¤¬Æþ¤Ã¤Æ¤ª¤ê,
   $c_{i2}$ ¤Ï°Ê²¼¤Î¿Þ¤Î¤è¤¦¤Ê cmo\_list ¤Ë¤Ê¤Ã¤Æ¤¤¤ë.
   ³ÆÍ×ÁÇ¤Ï cmo\_int32 ¤Ç¤¢¤ê,
   ¼õ¤±¼è¤ë¤³¤È¤¬²Äǽ¤Ê CMO ·Á¼°¤Î¥¿¥°¤¬Æþ¤ë.
   \begin{quote}
           (CMO\_LIST, {\sl int32} $k$,
                   {\sl cmo\_int32} $c_{i21}$, {\sl cmo\_int32} $c_{i22}$,
                           $\cdots$, {\sl cmo\_int32} $c_{i2k}$)
   \end{quote}
   
   ¶ñÂÎŪ¤Ê mathcap ¤ÎÎã¤ò¤¢¤²¤è¤¦.
   Ì¾Á°¤¬ ``ox\_test'', ¥Ð¡¼¥¸¥ç¥ó¥Ê¥ó¥Ð¡¼¤¬ 199911250 ¤Î¥µ¡¼¥Ð¤Ç,
   PC-UNIX ¾å¤ÇÆ°¤¤¤Æ¤¤¤ì¤Ð,
   $A$ ¤ÎÉôʬ¤Ï
   \begin{quote}
   (CMO\_LIST, 4, (CMO\_INT32, $199911250$), (CMO\_STRING, 7, "ox\_test"), \\
   \ \     (CMO\_STRING, 9, "199911250"), (CMO\_STRING, 4, "i386"))
   \end{quote}
   ¤È¤Ê¤ë.
   %({\Large ½¤Àµ¤ò¤ß¤Æ, ¤¿¤À¤·¤¯Ä¾¤¹¤³¤È})
   
   ¤µ¤é¤Ë, ¤³¤Î¥µ¡¼¥Ð¤Î¥¹¥¿¥Ã¥¯¥Þ¥·¥ó¤¬
   Ì¿Îá SM\_popCMO, SM\_popString, SM\_mathcap,
   SM\_executeStringByLocalParser ¤òÍøÍѲÄǽ
   %(¼ÂºÝ¤Ë¤Ï¤³¤Î¤è¤¦¤ÊÌ¿Îᥳ¡¼¥É¤Ï¸ºß¤·¤Ê¤¤)
   %{\Large ¤¸¤ã¤¢½ñ¤¯¤Ê}
   ¤Ç¤¢¤ì¤Ð, $B$ ¤ÎÉôʬ¤Ï
   \begin{quote}
   (CMO\_LIST, {\sl int32} $5$,
           (CMO\_INT32, SM\_popCMO), \\
   \ \     (CMO\_INT32, SM\_popString), (CMO\_INT32, SM\_mathcap), \\
   \ \     (CMO\_INT32, SM\_executeStringByLocalParser))
   \end{quote}
   ¤È¤Ê¤ê,
   CMO ·Á¼°¤Î 32 ¥Ó¥Ã¥ÈÀ°¿ô, ʸ»úÎó, mathcap , ¥ê¥¹¥È¹½Â¤¤Î¤ß¤¬
   ¼õ¤±¼è¤ì¤ë¤È¤­¤Ë¤Ï, $C$ ¤ÎÉôʬ¤Ï
   \begin{quote}
     (CMO\_LIST, {\sl int32} $1$, \\
     \ \ (CMO\_LIST, {\sl int32} $2$, (CMO\_INT32, OX\_DATA), \\
     \ \ \ \ (CMO\_LIST, {\sl int32} $4$, (CMO\_INT32, CMO\_INT32), \\
     \ \ \ \ \ (CMO\_INT32, CMO\_STRING), (CMO\_INT32, CMO\_MATHCAP), \\
     \ \ \ \ \ (CMO\_INT32, CMO\_LIST))))
   \end{quote}
   ¤È¤Ê¤ë.
   
   % ¤Ê¤ª, ¤³¤Î mathcap ¤Ç¤Ï, ¥Ç¡¼¥¿¤ÎÏÀÍý¹½Â¤¤¬Íý²ò¤Ç¤­¤ë¤«¤É¤¦¤«
   % ¤Þ¤Ç¤Ïʬ¤«¤é¤Ê¤¤¤Î¤ÇÃí°Õ¤¹¤ëɬÍפ¬¤¢¤ë.
   
 \section{¥»¥­¥å¥ê¥Æ¥£Âкö}  \section{¥»¥­¥å¥ê¥Æ¥£Âкö}
   
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 \section{¾¤Î¥×¥í¥¸¥§¥¯¥È}  \section{¾¤Î¥×¥í¥¸¥§¥¯¥È}
   
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 \begin{itemize}  \begin{itemize}
 \item OpenMath  \item OpenMath
   
 OpenMath ¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò  http://www.openmath.org/omsoc/   A.M.Cohen
 ¥³¥ó¥Ô¥å¡¼¥¿¾å¤Çɽ¸½¤¹¤ëÊýË¡¤ò·èÄꤷ¤Æ¤¤¤ë¡£  
 ³Æ¥½¥Õ¥È¥¦¥§¥¢´Ö¤Ç¥ª¥Ö¥¸¥§¥¯¥È¤ò¸ò´¹¤¹¤ëºÝ¤Î  
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 É½¸½ÊýË¡¤Ï°ì¤Ä¤À¤±¤Ç¤Ê¤¯¡¢ XML ɽ¸½¤ä binary ɽ¸½¤Ê¤É¤¬  
 ÍÑ°Õ¤µ¤ì¤Æ¤¤¤ë¡£  
 ¾ÜºÙ¤Ï  
   
 http://www.openmath.org/omsoc/index.html A.M.Cohen  ¤³¤Î¥×¥í¥¸¥§¥¯¥È¤Ï¿ô³ØŪ¤Ê¥ª¥Ö¥¸¥§¥¯¥È¤ò¥³¥ó¥Ô¥å¡¼¥¿¾å¤Çɽ¸½¤¹¤ëÊý
   Ë¡¤òµ¬Äꤷ¤Æ¤¤¤ë.
   %³Æ¥½¥Õ¥È¥¦¥§¥¢´Ö¤Ç¥ª¥Ö¥¸¥§¥¯¥È¤ò¸ò´¹¤¹¤ëºÝ¤Î¥ª¥Ö¥¸¥§¥¯¥È¤ÎÊÑ´¹¼ê½ç¤Ë
   %¤Ä¤¤¤Æ¤âÄê¤á¤é¤ì¤Æ¤¤¤ë.
   É½¸½ÊýË¡¤Ï´ö¤Ä¤«¤ÎÃʳ¬¤ÇÄê¤á¤é¤ì¤Æ¤¤¤Æ,
   XML ɽ¸½¤ä¥Ð¥¤¥Ê¥êɽ¸½¤Ê¤É¤¬ÍÑ°Õ¤µ¤ì¤Æ¤¤¤ë.
   
   
 \item NetSolve  \item NetSolve
   
 http://www.cs.utk.edu/netsolve/  http://www.cs.utk.edu/netsolve/
   
   ¥Í¥Ã¥È¥ï¡¼¥¯¤ò»È¤¤, Ê£ÁDzʳط׻»¤òʬ»¶¤·¤Æ¹Ô¤Ê¤¦.
   
   
 \item MP  \item MP
   
 http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html  http://symbolicNet.mcs.kent.edu/SN/areas/protocols/mp.html
   
   ¿ô³ØŪ¤Ê¥Ç¡¼¥¿¤Î¸úΨŪ¤Ê¸ò´¹¤Î¤¿¤á¤Î¥×¥í¥È¥³¥ë.
   ¸ò´¹¤¹¤ë¥Ç¡¼¥¿¤ÎÌÚ¹½Â¤¤Ë¤Ä¤¤¤Æ¾Ü¤·¤¤.
   
   
 \item MCP  \item MCP
   
 http://horse.mcs.kent.edu/~pwang/  http://horse.mcs.kent.edu/~pwang/
   
   HTTP ¥×¥í¥È¥³¥ë¤òÍѤ¤¤Æ¡¢¥ê¥â¡¼¥È¤Î·×»»µ¡¤Ç·×»»¤ò¹Ô¤Ê¤¦.
   
 \end{itemize}  \end{itemize}
   
   
 \section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢}  \section{¸½ºßÄ󶡤µ¤ì¤Æ¤¤¤ë¥½¥Õ¥È¥¦¥§¥¢}
   
 ¸½ºß OpenXM µ¬³Ê¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ï  ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥¯¥é¥¤¥¢¥ó¥È¤Ë¤Ïasir, sm1, Mathematica ¤¬¤¢¤ë.
 asir, sm1, Mathematica ¤¬¤¢¤ë¡£  ¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é OpenXM µ¬Ìó¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È
 ¤³¤ì¤é¤Î¥¯¥é¥¤¥¢¥ó¥È¤«¤é  ¤¬¤Ç¤­¤ë. ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï, asir,
 OpenXM µ¬³Ê¤ËÂбþ¤·¤¿¥µ¡¼¥Ð¤ò¸Æ¤Ó½Ð¤¹¤³¤È¤¬¤Ç¤­¤ë¡£  sm1, gnuplot, Mathematica, PHC pack ¤Ê¤É¤¬¤¢¤ê,
 ¸½ºß OpenXM µ¬Ìó¤ËÂбþ¤·¤Æ¤¤¤ë¥µ¡¼¥Ð¥½¥Õ¥È¥¦¥§¥¢¤Ë¤Ï¡¢  ¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_sm1\_gnuplot, ox\_math, ox\_sm1\_phc
  asir, sm1, gnuplot, Mathematica ¤Ê¤É¤¬¤¢¤ê¡¢  ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë. ¤Þ¤¿, OpenMath
 ¤½¤ì¤¾¤ì ox\_asir, ox\_sm1, ox\_sm1\_gnuplot, ox\_math  µ¬Ìó¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹
 ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£  ¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê, OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ
 ¤Þ¤¿¡¢ OpenMath µ¬³Ê¤Î XML ɽ¸½¤Çɽ¸½¤µ¤ì¤¿¥ª¥Ö¥¸¥§¥¯¥È¤È CMO ·Á¼°¤Î  ¤ì¤Æ¤¤¤ë.
 ¥ª¥Ö¥¸¥§¥¯¥È¤òÊÑ´¹¤¹¤ë¥½¥Õ¥È¥¦¥§¥¢¤¬ JAVA ¤Ë¤è¤Ã¤Æ¼ÂÁõ¤µ¤ì¤Æ¤ª¤ê¡¢  
 OMproxy ¤È¤¤¤¦Ì¾Á°¤ÇÄ󶡤µ¤ì¤Æ¤¤¤ë¡£  
   
 \begin{thebibliography}{99}  \begin{thebibliography}{99}
 \bibitem{Ohara-Takayama-Noro-1999}  \bibitem{Ohara-Takayama-Noro-1999}
 ¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô:  ¾®¸¶¸ùǤ, ¹â»³¿®µ£, ÌîϤÀµ¹Ô:
 {Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý, Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo).          {Open asir ÆþÌç}, 1999, ¿ô¼°½èÍý,
           Vol 7, No 2, 2--17. (ISBN4-87243-086-7, SEG ½ÐÈÇ, Tokyo).
   
 \bibitem{OpenXM-1999}  \bibitem{OpenXM-1999}
 ÌîϤÀµ¹Ô, ¹â»³¿®µ£:  ÌîϤÀµ¹Ô, ¹â»³¿®µ£:
 {Open XM ¤ÎÀ߷פȼÂÁõ --- Open message eXchange protocol for Mathematics},          {Open XM ¤ÎÀ߷פȼÂÁõ
 1999/11/22                  --- Open message eXchange protocol for Mathematics},
           1999/11/22
 \end{thebibliography}  \end{thebibliography}
   
 \end{document}  \end{document}

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